1
MHT CET 2026 17th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
If A and B are the feet of the perpendiculars drawn from $(1, 2, 3)$ to planes $YZ$ and $ZX$, then the equation of the plane passing through the points A, B and the origin is
A
$6x + 3y + 2z = 0$
B
$6x - 3y - 2z = 0$
C
$6x + 3y - 2z = 0$
D
$3x + 6y + 2z = 0$
2
MHT CET 2026 17th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
If the distance of point $B(2,1,-3)$ from the line passing through the point $A(4,-2,2)$, and parallel to the vector $\vec{c} = -4\hat{i} - 6\hat{j} - 2\hat{k}$ is $x$, then $x^4 + x^2 + 541 =$
A
$2026$
B
$2025$
C
$2024$
D
$2023$
3
MHT CET 2026 17th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
In the following figure, the shaded region represents the system of constraints:
A
$2x + y \leq 12, x + 2y \leq 12, x + 1.25y \geq 5, x \leq 0, y \geq 0$
B
$2x + y \leq 12, x + 2y \leq 12, x + 1.25y \geq 5, x \geq 0, y \leq 0$
C
$2x + y \leq 12, x + 2y \leq 12, x + 1.25y \leq 5, x \geq 0, y \geq 0$
D
$2x + y \leq 12, x + 2y \leq 12, x + 1.25y \geq 5, x \geq 0, y \geq 0$
4
MHT CET 2026 17th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
On average, one out of 10 persons is busy. If six persons are selected at random, then the probability that at least 5 of them will be busy is...
A
$\dfrac{25}{(10)^6}$
B
$\dfrac{35}{(10)^6}$
C
$\dfrac{45}{(10)^6}$
D
$\dfrac{55}{(10)^6}$

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